This was posted on Slashdot, but I think it’s worth sharing. This guy has created some three-dimensional fractals, trying to come up with something that has qualities similar to the 2D Mandelbrot set.
Those structures are all generated using relatively simple equations. A lot of those pictures look like they could be electron-microscope images of living things.
In retrospect, carrying the fractal formulas to higher dimensions seems obvious. But I’ve certainly never thought of it, and I’ve never heard of it before this.